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Finding the Fourth Proportional to 13,643.48, 20,445.98 and 10,857.76

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Solution

The fourth proportional to 13,643.48, 20,445.98 and 10,857.76 is: 16,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.48 : 20,445.98 = 10,857.76 : x
  2. Step 2: Convert to fraction form
    13,643.48/20,445.98 = 10,857.76/x
  3. Step 3: Cross multiply
    13,643.48x = 20,445.98 × 10,857.76
  4. Step 4: Simplify right side
    13,643.48x = 221,997,543.80
  5. Step 5: Solve for x
    x = 221,997,543.80/13,643.48
  6. Step 6: Final answer
    x = 16,271.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.